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Finding the Fourth Proportional to 16,474.84, 24,719.70 and 8,163.16

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Solution

The fourth proportional to 16,474.84, 24,719.70 and 8,163.16 is: 12,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.84 : 24,719.70 = 8,163.16 : x
  2. Step 2: Convert to fraction form
    16,474.84/24,719.70 = 8,163.16/x
  3. Step 3: Cross multiply
    16,474.84x = 24,719.70 × 8,163.16
  4. Step 4: Simplify right side
    16,474.84x = 201,790,866.25
  5. Step 5: Solve for x
    x = 201,790,866.25/16,474.84
  6. Step 6: Final answer
    x = 12,248.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.